Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$
Differential Geometry
2024-09-16 v1
Abstract
In this paper we study biconservative hypersurfaces in space forms with four distinct principal curvatures whose second fundamental form has constant norm. We prove that every such hypersurface has constant mean curvature and constant scalar curvature.
Cite
@article{arxiv.2409.08593,
title = {Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$},
author = {Ram Shankar Gupta and Andreas Arvanitoyeorgos},
journal= {arXiv preprint arXiv:2409.08593},
year = {2024}
}